Answer:
1st problem:
-1, 2i, -2i
Set the function equal to 0 and divide for x
0=x^3+x^2+4x+4
Subtract 4 from both sides leaving you with
-4=x^3+x^2+4x
divide both sides by four
-4÷4= -1
That is how you get -1
you now have -1=x^2+x^3+x
Solve for x buy finding the square roots of x^2, x^3 and subtracting x from both sides and you get 2i, -2i
Your answer to number one is -1, 2i, -2i
Second problem:
Find the LCD to be able to add these first
The LCD of (x-4)/x^2-2x is
x(x-2)
That is the first side done
The second side's LCD is (x+2)(x-2)
Now you can add the two together
x(x-2)+(x+2)(x-2)=
Your answer in fraction form is
(x+4)/x(x+2)
-6(2x - 4) = -6*(2x) -6*(-4) = -12x + 24
-(12x - 6) + 18 = -12x + 6 + 18 = -12x + 24
-3(4x - 3) + 15 = -3*(4x) -3*(-3) + 15 = -12x + 9 + 24 = -12x + 24
-4(3x + 6)
= -4*(3x) -4*(6) = -12x -24
All the expressions gave the same answer as -12x + 24, except for the last expression.
So, -4(3x + 6)
is not equivalent to the others.
Option 4. √10 is irrational. the addition of√10 and-√10, two irrational numbers, results in 0, which is NOT irrational. this is an example that shows irrational numbers are not closed under
addition
Answer:
I'm not 100% sure but I think the answer would be 6.75 US$.
Step-by-step explanation:
Answer:
268
Step-by-step explanation:
We need to multiply and add:
47 tables of 4 means there are a total of 47 * 4 = 188 people at these tables.
16 tables of 5 means there are a total of 16 * 5 = 80 people at these tables.
Add them up to get: 188 + 80 = 268 customers total.